Existence and global asymptotic stability of positive periodic solutions of n-species delay impulsive Lotka–Volterra type systems

Abstract

In this paper, the existence and global asymptotic stability of positive periodic solutions of periodic n-species Lotka–Volterra impulsive systems with several deviating arguments are studied. By using the continuation theorem of coincidence degree theory and Lyapunov–Razumikhin method, sufficient conditions are obtained. Some known results are improved and generalized.